Abstract
In this paper, we consider a large class of critical problems with singular potentials on Carnot groups. In particular, we prove sharp regularity results in Marcinkiewicz spaces and the exact rate of decay of the solutions. Our general results apply, for instance, to the equation satisfied by the extremals of some relevant Hardy–Sobolev type inequalities on Stratified groups.
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More From: Nonlinear Differential Equations and Applications NoDEA
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